Combining Texts
Ideas for
'Remarks on the definition and nature of mathematics', 'Introduction to 'Absolute Generality'' and 'Sentences'
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5 ideas
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
16728
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Logicians acknowledge too few things, while others acknowledge too many [Fitzralph]
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5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
17807
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To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry]
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5. Theory of Logic / G. Quantification / 2. Domain of Quantification
13449
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We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano]
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13450
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Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano]
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5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
13453
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Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano]
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